Angels are angles by Degrees

Angels were originally in the Jewish theogony considered simply as messengers of God, as the name Malachim imports, and the word thus continually used in the early scriptures of the Old Testament. It was only after the captivity that the Jews brought from Babylon their mystical ideas of angels as instruments of creative ministration, such as the angel of fire, of water, of earth, or of air. These doctrines they learned from the Chaldean sages, who probably derived them from Zoroaster and the Zendavesta. In time these doctrines were borrowed by the Gnostic, and through them they have been introduced into some of the high degrees; such, for instance, as the Knight of the Sun, in whose rituals the angels of the four elements play an important part.

Angle is the inclination of two lines meeting in a point. Angles are three kinds - acute, obtuse, and right angles. The right angle, or the angle of 90 degrees, is the only one recognized in Masonry, because it is the form of the trying square, one of the most important working tools of the profession, and the symbol of morality.